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arXiv · 2312.04015

Generalized Nonvanishing Conjecture and Iitaka Conjecture

Chi-Kang Chang
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Abstract

In this article, we will prove the Generalized Nonvanishing Conjecture holds for threefolds with either $κ>0$ or $q>0$. As a result, we can prove the Iitaka conjecture $C_{n,m}$ holds for $n=7$ if the source space has non-negative Kodaira dimension, if the general fibre has positive Kodaira dimension, or if the base space is not threefold with $κ=q=0$. In particular, $C^-_{n,m}$ holds if $n\leq 7$.

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BibTeXRIS

Chi-Kang Chang. 2024-03-25. Generalized Nonvanishing Conjecture and Iitaka Conjecture. https://arxiv.org/abs/2312.04015

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